1. A dangerous toxic pollutant has been accidentally spilled in a lake. t = e4 The speed of water contamination is modelled by P(t): where P is the concentration in mg per m³ and t is time in minutes. 40 minutes later, the Environment Protection Agency has released in the la another chemical that neutralizes the toxic pollutant. The concentration of t second chemical is modelled by N(t) = 31 The toxic pollutant will b completely neutralized when the two concentrations are equal. a) When is the maximum concentration of pollution reached? b) When is the toxic pollutant completely neutralized?

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11. A dangerous toxic pollutant has been accidentally spilled in a lake.
t
The speed of water contamination is modelled by P(t) = e4
where P is the concentration in mg per m³ and t is time in minutes.
40 minutes later, the Environment Protection Agency has released in the la
another chemical that neutralizes the toxic pollutant. The concentration of
ţ
second chemical is modelled by N(t) = 3 The toxic pollutant will b
completely neutralized when the two concentrations are equal.
a) When is the maximum concentration of pollution reached?
b) When is the toxic pollutant completely neutralized?
Transcribed Image Text:11. A dangerous toxic pollutant has been accidentally spilled in a lake. t The speed of water contamination is modelled by P(t) = e4 where P is the concentration in mg per m³ and t is time in minutes. 40 minutes later, the Environment Protection Agency has released in the la another chemical that neutralizes the toxic pollutant. The concentration of ţ second chemical is modelled by N(t) = 3 The toxic pollutant will b completely neutralized when the two concentrations are equal. a) When is the maximum concentration of pollution reached? b) When is the toxic pollutant completely neutralized?
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